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Pskhu Arsen Vladimirovich

Pskhu Arsen Vladimirovich

Director of the Institute, Doctor of Physical and Mathematical Sciences, Associate Professor, chief researcher at the fractional calculus department.

Field of research: differential equations, dynamical systems, and optimal control
  1. Education: higher
    Lomonosov Moscow State University, 1991 г.
  2. Scientific degree – Doctor of Physical and Mathematical Sciences, specialty 01.01.02. – “Differential equations, dynamic systems and optimal management”, 2007
  3. Scientific title – Associate Professor in the specialty “Differential Equations”, 2005
  4. Awards
    • Сertificate of honor of the KBR parliament (2013)
    • Certificate of honor of the Ministry of Education and Science of the KBR (2011)
    • Certificate of honor of the Russian Academy of Sciences and the Trade Union of RAS Workers (2007)
    • Certificate of honor of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences (1999)
  5. Work experience in the specialty: since 1992
  6. List of major works for last 5 years:
      1. Pskhu A.V. Cauchy problem for ordinary differential equations of distributed order // Journal of Mathematical Sciences. 2024. Vol. 281, no. 6. Pp. 898-908.
      2. Pskhu A.V., Rekhviashvili S.Sh. Comparative analysis of the classical and fractional equations of movement // Technical Physics Letters.
      3. Pskhu A. Transmutation operators intertwining first-order and distributed-order derivatives // Bol. Soc. Mat. Mex. 2023.  Vol. 29, no. 93. 
      4. Pskhu A.V. D’Alembert Formula for Diffusion-Wave Equation // Lobachevskii Journal of Mathematics. 2023. Vol. 44, no. 2. Pp. 644–652.
      5. Pskhu A.V. Boundary Value Problem for a First-Order Partial Differential Equation with Liouville Fractional Derivative // Differential Equations. 2022. Vol. 58, no 8, Pp. 1043–1051.
      6. Pskhu A.V. Green function of the first boundary-value problem for the fractional diffusion-wave equation in a multidimensional rectangular domain // Journal of Mathematical Sciences. 2022. Vol. 260, no. 3. Pp. 325–334.
      7. Pskhu A.V. Nakhushev extremum principle for a class of integro-differential operators // Fractional Calculus and Applied Analysis. 2021. Vol. 23, no. 6. Pp. 1712–1722.
      8. Pskhu A.V. Green Functions of the First Boundary-Value Problem for a Fractional Diffusion-Wave Equation in Multidimensional Domains // Mathematics. 2020. Vol. 8, no. 4. 464.  
      9. Pskhu A.V. Transmutations for Multi-Term Fractional Operators. In: Kravchenko V., Sitnik S. (eds) Transmutation Operators and Applications. Trends in Mathematics. (2020). Birkhäuser, Cham. 
      10. Pskhu A.V. Stabilization of solutions to the Cauchy problem for fractional diffusion-wave equation // Journal of Mathematical Sciences. 2020. Vol. 250, no. 5, P. 800–810.  
      11. Pskhu A., The Stankovich Integral Transform and Its Applications. In: Agarwal, P. (Ed.), Agarwal, R. (Ed.), Ruzhansky, M. (Ed.). (2021). Special Functions and Analysis of Differential Equations. New York: Chapman and Hall/CRC, 
      12. Pskhu A., Rekhviashvili S. Fractional Diffusion-Wave Equation with Application in Electrodynamics // Mathematics. 2020. Vol. 8, № 11. 2086. 
      13. Eneeva, L.; Pskhu, A.; Rekhviashvili, S. Ordinary Differential Equation with Left and Right Fractional Derivatives and Modeling of Oscillatory Systems // Mathematics. 2020. Vol. 8, № 11. 2122. 
      14. Eneeva L., Pskhu A., Potapov A., Feng T., Rekhviashvili S. Lyapunov Inequality for a Fractional Differential Equation Modeling Damped Vibrations of Thin Film MEMS. In: WU C.H., PATNAIK S., POPENTIU VLÃDICESCU F., NAKAMATSU K. (eds) Recent Developments in Intelligent Computing, Communication and Devices. ICCD 2019. Advances in Intelligent Systems and Computing. Vol. 1185. Springer, Singapore. 2020. P. 454-457. 
      15. Rekhviashvili S., Pskhu A., Potapov A., Feng T., Eneeva L. Modeling Damped Vibrations of Thin Film MEMS: Fractional Approach. In: WU C.H., PATNAIK S., POPENTIU VLÃDICESCU F., NAKAMATSU K. (eds) Recent Developments in Intelligent Computing, Communication and Devices. ICCD 2019. Advances in Intelligent Systems and Computing. Vol 1185. Springer, Singapore. 2020. P. 458-463. 
      16. Pskhu A.V. Fundamental solutions and Cauchy problems for an odd-order partial differential equation with fractional derivative // Electron. J. Differential Equations. 2019. Vol. 2019, no. 21. Pp. 1–13.
  7. Профили для просмотра результатов научной деятельности
  8. Электронная почта: pskhu@list.ru
  9. Телефон (+78662) 42-29-51
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